Finite Group Databasebeta

← Group #11900787

Character table — Group #11900787

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222444444444444444444444444121212121212121212121212121212121212121212121212181818181818181811111111222222222222222222224444444444444444444444441212121212121212121212121212121212121212121212121818181818181818
order12224444223344666666121212121212121236666666666612121212121212121212121222224444666666661212121212121212444444442222444422664466666612121212121212126666666666661212121212121212121212122222444466666666121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-1-111-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-11111-1-1-1-111111111-1-111-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-11111-1-1-1-1
χ611111111-1-111-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11-1-111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-111-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11-1-111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-11111
χ711111111-1-111-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-111-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111-1-111-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-111-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-11111
χ811111111-1-111-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-1111111-1-1-1-111111111-1-111-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-1111111-1-1-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-1111-1-111-1-1-1-111-1-11111-1-111-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-1111-1-111-1-1-1-111-1-11111-1-111-1-1
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-111-111-1-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-111-111-1-1-1-111-1-11111-1-1-1-111-1-111
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-1-11111-1-111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-1-11111-1-111-1-1-1-111-1-111-1-111
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-111-1-11111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-111-1-11111-1-111-1-111-1-111-1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ1722222222222-12222-1-12-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-10000000022222222222-12222-1-12-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-100000000
χ1822222222222-12222-1-12-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100-2-200-2-200001111000011110000000022222222222-12222-1-12-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100-2-200-2-2000011110000111100000000
χ192222222222-1222-1-122-12-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-10000000000002222222222-1222-1-122-12-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-1000000000000
χ202222222222-1222-1-122-12-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-200-2-2001111000011110000000000002222222222-1222-1-122-12-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-200-2-200111100001111000000000000
χ2122222222-2-22-1-2-222-1-12-12222-1-1-1-1-1-2-211-1-11111-1-2-211-1-1-1-11111002-2002-20000-1-1110000-1-1110000000022222222-2-22-1-2-222-1-12-12222-1-1-1-1-1-2-211-1-11111-1-2-211-1-1-1-11111002-2002-20000-1-1110000-1-11100000000
χ2222222222-2-22-1-2-222-1-12-12222-1-1-1-1-1-2-211-1-11111-1-2-211-1-1-1-1111100-2200-22000011-1-1000011-1-10000000022222222-2-22-1-2-222-1-12-12222-1-1-1-1-1-2-211-1-11111-1-2-211-1-1-1-1111100-2200-22000011-1-1000011-1-100000000
χ2322222222-2-2-12-2-2-1-122-12-1-1-1-12222-111-2-2-1-11111-111-2-2-1-1-1-111112-2002-200-1-1110000-1-11100000000000022222222-2-2-12-2-2-1-122-12-1-1-1-12222-111-2-2-1-11111-111-2-2-1-1-1-111112-2002-200-1-1110000-1-111000000000000
χ2422222222-2-2-12-2-2-1-122-12-1-1-1-12222-111-2-2-1-11111-111-2-2-1-1-1-11111-2200-220011-1-1000011-1-100000000000022222222-2-2-12-2-2-1-122-12-1-1-1-12222-111-2-2-1-11111-111-2-2-1-1-1-11111-2200-220011-1-1000011-1-1000000000000
χ252222-2-2-2-2222-1-2-222-1-12-1-2-2-2-21111-122-1-1-1-1-1-1-1-1-1-2-21111111111002-200-220000-1-111000011-1-1000000002222-2-2-2-2222-1-2-222-1-12-1-2-2-2-21111-122-1-1-1-1-1-1-1-1-1-2-21111111111002-200-220000-1-111000011-1-100000000
χ262222-2-2-2-2222-1-2-222-1-12-1-2-2-2-21111-122-1-1-1-1-1-1-1-1-1-2-2111111111100-22002-2000011-1-10000-1-111000000002222-2-2-2-2222-1-2-222-1-12-1-2-2-2-21111-122-1-1-1-1-1-1-1-1-1-2-2111111111100-22002-2000011-1-10000-1-11100000000
χ272222-2-2-2-222-12-2-2-1-122-121111-2-2-2-2-1-1-122-1-1-1-1-1-1-111-2-2111111112-200-2200-1-111000011-1-10000000000002222-2-2-2-222-12-2-2-1-122-121111-2-2-2-2-1-1-122-1-1-1-1-1-1-111-2-2111111112-200-2200-1-111000011-1-1000000000000
χ282222-2-2-2-222-12-2-2-1-122-121111-2-2-2-2-1-1-122-1-1-1-1-1-1-111-2-211111111-22002-20011-1-10000-1-1110000000000002222-2-2-2-222-12-2-2-1-122-121111-2-2-2-2-1-1-122-1-1-1-1-1-1-111-2-211111111-22002-20011-1-10000-1-111000000000000
χ292222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-1-2-211-1-11111-122-1-11111-1-1-1-1002200-2-20000-1-1-1-100001111000000002222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-1-2-211-1-11111-122-1-11111-1-1-1-1002200-2-20000-1-1-1-10000111100000000
χ302222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-1-2-211-1-11111-122-1-11111-1-1-1-100-2-20022000011110000-1-1-1-1000000002222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-1-2-211-1-11111-122-1-11111-1-1-1-100-2-20022000011110000-1-1-1-100000000
χ312222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-111-2-2-1-11111-1-1-1221111-1-1-1-12200-2-200-1-1-1-1000011110000000000002222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-111-2-2-1-11111-1-1-1221111-1-1-1-12200-2-200-1-1-1-100001111000000000000
χ322222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-111-2-2-1-11111-1-1-1221111-1-1-1-1-2-200220011110000-1-1-1-10000000000002222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-111-2-2-1-11111-1-1-1221111-1-1-1-1-2-200220011110000-1-1-1-1000000000000
χ3322-2-222-2-22-2222-2-2-2-2-22222-2-222-2-222-22-2-2-222-2-222-22-222-2-222-2-20000000000000000000000000000000022-2-222-2-22-2222-2-2-2-2-22222-2-222-2-222-22-2-2-222-2-222-22-222-2-222-2-200000000000000000000000000000000
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χ3722-2-222-2-22-2-122-211-2-2-12-1-11122-2-2-1-112-211-1-111-1-112-2-1-111-1-11100000000i3−i3i3−i30000i3−i3i3−i300000000000022-2-222-2-22-2-122-211-2-2-12-1-11122-2-2-1-112-211-1-111-1-112-2-1-111-1-11100000000i3−i3i3−i30000i3−i3i3−i3000000000000
χ3822-2-222-2-2-2222-22-2-2-2-22222-2-222-2-22-22-22-2-2-2-2222-22-2222-2-2-2-2220000000000000000000000000000000022-2-222-2-2-2222-22-2-2-2-22222-2-222-2-22-22-22-2-2-2-2222-22-2222-2-2-2-22200000000000000000000000000000000
χ3922-2-222-2-2-222-1-22-2-2112-122-2-2-1-111-1-221-11111-1-1-1-221-1-1-11111-1-1000000000000−i3i3i3−i30000−i3i3i3−i30000000022-2-222-2-2-222-1-22-2-2112-122-2-2-1-111-1-221-11111-1-1-1-221-1-1-11111-1-1000000000000−i3i3i3−i30000−i3i3i3−i300000000
χ4022-2-222-2-2-222-1-22-2-2112-122-2-2-1-111-1-221-11111-1-1-1-221-1-1-11111-1-1000000000000i3−i3−i3i30000i3−i3−i3i30000000022-2-222-2-2-222-1-22-2-2112-122-2-2-1-111-1-221-11111-1-1-1-221-1-1-11111-1-1000000000000i3−i3−i3i30000i3−i3−i3i300000000
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χ4322-2-2-2-2222-222-22-2-2-2-222-2-222-2-22222-22-2-2-222-2-22-22-22-2-222-2-2220000000000000000000000000000000022-2-2-2-2222-222-22-2-2-2-222-2-222-2-22222-22-2-2-222-2-22-22-22-2-222-2-22200000000000000000000000000000000
χ4422-2-2-2-2222-22-1-22-2-2112-1-2-22211-1-1-12-2-1111-1-111-1-221-111-1-111-1-1000000000000−i3i3i3−i30000i3−i3−i3i30000000022-2-2-2-2222-22-1-22-2-2112-1-2-22211-1-1-12-2-1111-1-111-1-221-111-1-111-1-1000000000000−i3i3i3−i30000i3−i3−i3i300000000
χ4522-2-2-2-2222-22-1-22-2-2112-1-2-22211-1-1-12-2-1111-1-111-1-221-111-1-111-1-1000000000000i3−i3−i3i30000−i3i3i3−i30000000022-2-2-2-2222-22-1-22-2-2112-1-2-22211-1-1-12-2-1111-1-111-1-221-111-1-111-1-1000000000000i3−i3−i3i30000−i3i3i3−i300000000
χ4622-2-2-2-2222-2-12-2211-2-2-1211-1-1-2-222-1-112-211-1-111-11-1-2211-1-111-1-100000000−i3i3i3−i30000i3−i3−i3i300000000000022-2-2-2-2222-2-12-2211-2-2-1211-1-1-2-222-1-112-211-1-111-11-1-2211-1-111-1-100000000−i3i3i3−i30000i3−i3−i3i3000000000000
χ4722-2-2-2-2222-2-12-2211-2-2-1211-1-1-2-222-1-112-211-1-111-11-1-2211-1-111-1-100000000i3−i3−i3i30000−i3i3i3−i300000000000022-2-2-2-2222-2-12-2211-2-2-1211-1-1-2-222-1-112-211-1-111-11-1-2211-1-111-1-100000000i3−i3−i3i30000−i3i3i3−i3000000000000
χ4822-2-2-2-222-22222-2-2-2-2-222-2-222-2-2222-22-22-2-2-2-22222-22-2-2-22222-2-20000000000000000000000000000000022-2-2-2-222-22222-2-2-2-2-222-2-222-2-2222-22-22-2-2-2-22222-22-2-2-22222-2-200000000000000000000000000000000
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χ1554-44-44i−4i4i−4i00-2-200-22-2222−2i2i−2i2i−2i2i−2i2i100001-13-33-3-10000i−ii−i3i−3i3i−3i00000000000000000000000000000000-44-44−4i4i−4i4i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i-10000-11-33-3310000−ii−ii−3i3i−3i3i00000000000000000000000000000000
χ1564-44-44i−4i4i−4i00-2-200-22-2222−2i2i−2i2i−2i2i−2i2i100001-1-33-33-10000i−ii−i−3i3i−3i3i00000000000000000000000000000000-44-44−4i4i−4i4i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i-10000-113-33-310000−ii−ii3i−3i3i−3i00000000000000000000000000000000
χ1574-44-4−4i4i−4i4i004-2004-4-22-42−4i4i−4i4i2i−2i2i−2i-20000-220000200002i−2i2i−2i000000000000000000000000000000000000-44-444i−4i4i−4i00-4200-442-24-24i−4i4i−4i−2i2i−2i2i200002-20000-20000−2i2i−2i2i000000000000000000000000000000000000
χ1584-44-4−4i4i−4i4i00-2400-224-42-42i−2i2i−2i−4i4i−4i4i-20000-220000200002i−2i2i−2i000000000000000000000000000000000000-44-444i−4i4i−4i002-4002-2-44-24−2i2i−2i2i4i−4i4i−4i200002-20000-20000−2i2i−2i2i000000000000000000000000000000000000
χ1594-44-4−4i4i−4i4i00-2-200-22-22222i−2i2i−2i2i−2i2i−2i100001-13-33-3-10000−ii−ii−3i3i−3i3i00000000000000000000000000000000-44-444i−4i4i−4i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i-10000-11-33-3310000i−ii−i3i−3i3i−3i00000000000000000000000000000000
χ1604-44-4−4i4i−4i4i00-2-200-22-22222i−2i2i−2i2i−2i2i−2i100001-1-33-33-10000−ii−ii3i−3i3i−3i00000000000000000000000000000000-44-444i−4i4i−4i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i-10000-113-33-310000i−ii−i−3i3i−3i3i00000000000000000000000000000000
χ1614-4-444i−4i−4i4i004-200-442-2-424i−4i−4i4i−2i2i2i−2i-200002-2000020000−2i2i2i−2i000000000000000000000000000000000000-444-4−4i4i4i−4i00-42004-4-224-2−4i4i4i−4i2i−2i−2i2i20000-220000-200002i−2i−2i2i000000000000000000000000000000000000
χ1624-4-444i−4i−4i4i00-24002-2-442-4−2i2i2i−2i4i−4i−4i4i-200002-2000020000−2i2i2i−2i000000000000000000000000000000000000-444-4−4i4i4i−4i002-400-224-4-242i−2i−2i2i−4i4i4i−4i20000-220000-200002i−2i−2i2i000000000000000000000000000000000000
χ1634-4-444i−4i−4i4i00-2-2002-22-222−2i2i2i−2i−2i2i2i−2i10000-113-3-33-10000i−i−ii3i−3i−3i3i00000000000000000000000000000000-444-4−4i4i4i−4i002200-22-22-2-22i−2i−2i2i2i−2i−2i2i-100001-1-333-310000−iii−i−3i3i3i−3i00000000000000000000000000000000
χ1644-4-444i−4i−4i4i00-2-2002-22-222−2i2i2i−2i−2i2i2i−2i10000-11-333-3-10000i−i−ii−3i3i3i−3i00000000000000000000000000000000-444-4−4i4i4i−4i002200-22-22-2-22i−2i−2i2i2i−2i−2i2i-100001-13-3-3310000−iii−i3i−3i−3i3i00000000000000000000000000000000
χ1654-4-44−4i4i4i−4i004-200-442-2-42−4i4i4i−4i2i−2i−2i2i-200002-20000200002i−2i−2i2i000000000000000000000000000000000000-444-44i−4i−4i4i00-42004-4-224-24i−4i−4i4i−2i2i2i−2i20000-220000-20000−2i2i2i−2i000000000000000000000000000000000000
χ1664-4-44−4i4i4i−4i00-24002-2-442-42i−2i−2i2i−4i4i4i−4i-200002-20000200002i−2i−2i2i000000000000000000000000000000000000-444-44i−4i−4i4i002-400-224-4-24−2i2i2i−2i4i−4i−4i4i20000-220000-20000−2i2i2i−2i000000000000000000000000000000000000
χ1674-4-44−4i4i4i−4i00-2-2002-22-2222i−2i−2i2i2i−2i−2i2i10000-113-3-33-10000−iii−i−3i3i3i−3i00000000000000000000000000000000-444-44i−4i−4i4i002200-22-22-2-2−2i2i2i−2i−2i2i2i−2i-100001-1-333-310000i−i−ii3i−3i−3i3i00000000000000000000000000000000
χ1684-4-44−4i4i4i−4i00-2-2002-22-2222i−2i−2i2i2i−2i−2i2i10000-11-333-3-10000−iii−i3i−3i−3i3i00000000000000000000000000000000-444-44i−4i−4i4i002200-22-22-2-2−2i2i2i−2i−2i2i2i−2i-100001-13-3-3310000i−i−ii−3i3i3i−3i00000000000000000000000000000000

Here i is the imaginary unit (i² = −1).